Chapter 7: Q. 7.119 (page 871)

Factor completely: $10 a^{2} - 17 a + 6$ .

Short Answer

Expert verified

The factors for $10 a^{2} - 17 a + 6$ are, $(5 a - 6) (2 a - 1)$ .

Step by step solution

Step 1. Given information

$10 a^{2} - 17 a + 6$ .

We need to find the factors for the given expression.

Step 2. Let us use the trial and error method to find the factors.

10 a^{2} - 17 a + 6

Possible Factors	Product
$(5 a - 6) (2 a - 1)$	$10 a^{2} - 17 a + 6$
$(a - 6) (10 a - 1)$	$10 a^{2} - 61 a + 6$
$(a - 3) (10 a - 2)$	Not an option
$(2 a - 6) (5 a - 1)$	Not an option
$(10 a - 6) (a - 1)$	Not an option
$(a - 2) (10 a - 3)$	$10 a^{2} - 23 a + 6$

So, the obtained factors are, $(5 a - 6) (2 a - 1)$ .

Step 3. Let us check the answer.

Multiply the factors.

$(5 a - 6) (2 a - 1) = (5 a . 2 a) + (5 a . - 1) + (- 6.2 a) + ((- 6) . (- 1)) = 10 a^{2} - 5 a - 12 a + 6 = 10 a^{2} - 17 a + 6$

which is correct.

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Factor completely: $10 a^{2} - 17 a + 6$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Let us use the trial and error method to find the factors.

Step 3. Let us check the answer.

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Factor completely:10a2-17a+6.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Let us use the trial and error method to find the factors.

Step 3. Let us check the answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Geometry

Decision Maths

Probability and Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Factor completely: $10 a^{2} - 17 a + 6$ .